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42928278498504 = 233272711071818849
BaseRepresentation
bin10011100001011000001001…
…10010100110110011001000
312121222220101112112111210100
421300230010302212303020
521111314103243423004
6231144551235045400
712020315521434300
oct1160540462466310
9177886345474710
1042928278498504
1112750865090173
124993955740860
131ac5172115a89
14a85a4dcb8600
154e69e2b50739
hex270b04ca6cc8

42928278498504 has 576 divisors, whose sum is σ = 139213187568000. Its totient is φ = 11911927910400.

The previous prime is 42928278498493. The next prime is 42928278498517. The reversal of 42928278498504 is 40589487282924.

42928278498504 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 8 + 2 + 78 + 49 + 8 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4851196672 + ... + 4851205520.

It is an arithmetic number, because the mean of its divisors is an integer number (241689561750).

Almost surely, 242928278498504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42928278498504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69606593784000).

42928278498504 is an abundant number, since it is smaller than the sum of its proper divisors (96284909069496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42928278498504 is a wasteful number, since it uses less digits than its factorization.

42928278498504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9234 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 42928278498504 in words is "forty-two trillion, nine hundred twenty-eight billion, two hundred seventy-eight million, four hundred ninety-eight thousand, five hundred four".